Mathematics High School

Find the 8th term of the G.P 9,3,1,​

Find The 8th Term Of The G.P 9,3,1,

Answers

Answer 1

Answer:

a=9 , d=6 n=8

a+(n-1)d = an

9+(8-1)6 = an

9+7×6 = an

9+42 = an

51 = an

Related Questions

What is the average rate of change of the function f(x)=120(0. 1)x from x = 0 to x = 2? Enter your answer, as a decimal, in the box. Do not round your answer.

Answers

The average rate of change of the function is -59.4

The formula for calculating the rate of change of the function is expressed as:

[tex]f'(x)=\frac{f(b)-f(a)}{b-a}[/tex]

Given the function

[tex]f(x)=120(0.1)^x\\f(0) = 120(0.1)^0\\f(0)=120\\[/tex]

Get the value of f(2)

[tex]f(2)=120(0.1)^2\\f(2) = 120(0.1)^2\\f(2)=1.2\\[/tex]

Substitute into the formula to have:

[tex]f'(x)=\frac{1.2-120}{2-0}\\f'(x)=\frac{118.8}{2} \\f'(x)= -59.4[/tex]

Hence the average rate of change of the function is -59.4

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Which division problem is modeled

Answers

Answer:

The first one

Step-by-step explanation:

if you count, there are five full rows, and two extra, so 52/100. then you count the sections that the colored area is: 4. then count how many squares are in each colored section: 13.

Write 456 in expanded notation using powers of 10​

Answers

Answer:

400+50+6

Step-by-step explanation:

456 means 400+50+6

What is the factorization of the expression below?
42 - 9y2
O A. (4x - 3y)(x + 3y)
B. (4x-3y)(x - 3y)
O C. (2x-3)(2x-3y)
O D. (2x-3)(2x + 3y)

Answers

[tex]\sf \longmapsto \: 4x {}^{2} - 9y {}^{2} [/tex]

There are no like terms so we can't simplify itFactoring

[tex]\sf \longmapsto(2x+3y)(2x−3y)[/tex]

[tex] \boxed{\sf (2x+3y)(2x−3y)}[/tex]

Answer:

Choice D

Step-by-step explanation:

Factorise: 4x²-9y²

We can obtain the factorization by this identity:

a² - b² = (a+b)(a-b)

Rewrite the given expression as:

(2x)² - (3y)²

Let (2x)² be a and (3y)² be b according to the identity.

So applying the identity:

(2x+3y)(2x-3y)(2x-3y)(2x+3y)

Choice D is accurate.

The density of glass in a bottle is 2.4gcm^3. The volume of glass used to make the bottle is 13.4cm^3. Calculate the mass of the glass bottle. ​

Answers

Answer:

Density is g/cm^3, not gcm^3

Mass = 32.16 grams [32.2 grams for 3 sig figs)

Step-by-step explanation:

Density = Mass/Volume

Density = 2.4g/cm^3

Volume = 13.4cm^3

---

2.4g/cm^3 = Mass/13.4cm^3

Mass = (2.4g/cm^3)*(13.4cm^3)

Mass = 32.16 grams [32.2 grams for 3 sig figs)

The mass of the glass-bottle is 32.16 grams.

What is volume?

Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.

Given:

The density of glass in a bottle is 2.4 grams per cubic centimeters.

The volume of glass used to make the bottle is 13.4 grams per cubic centimeters.

Density = Mass/Volume

Density = 2.4 grams per cubic centimeters.

Volume = 13.4 cubic centimeters.

Substituting all the values,

2.4 = Mass / 13.4

Mass = 13.4 x 2.4

Mass = 32.16

Therefore, mass = 322.16 grams.

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1. Order each set of numbers from least to greatest.
a) 23 405, 23 100, 680 155, 680 056, 607 463

b) 320 376, 409 217, 317 758, 329 000, 320 768

Answers

a) 23100, 23405, 607463, 680056, 680155

b) 317758, 320376, 320768, 329000, 409217

A retirement account was opened with a $900 deposit. If the account earns 4.25% interest compounded continuously and has no other deposits or withdrawals, how long will it take the value to double?​

Answers

It will take 16.66years long for the money to double

The formula for calculating the compound amount is expressed as:

A = P(1+r)^t

A is the amount after t years  = 2(900) = $1800P is the amount invested = $900r is the rate in decimal  = 4.25% = 0.0425

Substitute into the formula to have:

1800 = 900(1+0.0425)^t

2 =(1+0.0425)^t

2 = 1.0425^t

ln2 = tln1.0425

t =  ln2/ln1.0425

t = 0.6931/0.0416

t = 16.66years

This shows that it will take 16.66years long for the money to double

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What is 2 and 2/3 x 5

Answers

Answer:

13 and 1/3

Step-by-step explanation:

2×5=10

2/3 ×5 =10/3

10/3 simplifies to 3 and 1/3

Add them together to get 13 and 1/13

please answer fast i need it

Answers

Answer:

AB = 2.625

Step-by-step explanation:

BC is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides , that is

[tex]\frac{CA}{CD}[/tex] = [tex]\frac{AB}{BD}[/tex] , that ia

[tex]\frac{6}{10}[/tex] = [tex]\frac{AB}{7-AB}[/tex] ( cross- multiply )

10 AB = 6(7 - AB) ← distribute

10 AB = 42 - 6 AB ( add 6 AB to both sides )

16 AB = 42 ( divide both sides by 16 )

AB = 2.625

5

7

2

8

1) what is the area (square units)

Answers

area: 560

Explanation: multiply everything together

What is the mean absolute deviation (MAD) of the data set?

2, 6, 8, 12, 12

Enter your answer as a decimal in the box.

Answers

Answer:

2+6+8+12+12=40

40 divided by 5=8

6+2+0+4+4=16

16 divided by 5=3.2

MAD=3.2

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

I took the test

find the missing triangle measurements. I WILL GIVE BRAINLIEST! PLEASE

Answers

Answer:

ABC= 60

DCE= 65

DEF= 105

Step-by-step explanation:

Answer:

60°; 65°; 115°

Step-by-step explanation:

ΔABC is equilateral since all sides marked as congruent. Therefore:

m∠ABC = 60°

ΔCDE is isosceles since two sides marked as congruent:

m∠DCE = m∠DEC = 1/2(180° - 50°) = 1/2(130°) = 65°

∠DEF forms a linear pair with ∠DEC, so they sum to 180°:

m∠DEF = 180° - 65° = 115°

2. Charges imposed on citizens by local, state, and federal governments are called?
A.)debts
B.)income
C.) taxes
D.)tips

Answers

Answer:

Compulsory charges imposed on citizens by local, state, and the federal government. Employers withholding allowance certificate provides the percentage of gross to be withheld for taxes. It is a law for employers to withhold taxes from wages.

A family travels a distance of 870 miles in 13 hours on vacation. What was the families average speed for this trip? s

Answers

Answer: 256.

Step-by-step explanation:

✨maThS✨

Please help me with this

Answers

The answer is 1 and 7/8. The last answer
1 7/8
3/5 x 3 1/8 (25/8) = 1.875
1.875 as a fraction is 1 7/8

Find the area of this semi-circle with radius, r = 92cm. Give your answer rounded to 1 DP. rcm The diagram is not drawn to scale.​

Answers

Answer:

142cm

Step-by-step explanation:

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The area of the circle semicircle will be 13288.28 square centimeters.

What is the area of a circle?

Suppose the circle has a radius of 'r' units, then, its area is given as:

A = πr² square unit

The radius of the semicircle is 92 cm.

The area of the semicircle is half of the area of the circle.

Then the area of the circle semicircle will be

A = π x 92² / 2

A = π x 8464/ 2

A = 4232 x 3.14

A = 13288.48 square cm

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Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get? Again assesment due tom :,)

Answers

Answer:

327.5

Step-by-step explanation:

8452/23 = 327.478

Round to about 327.5 books per class

Answer:

each class gets 367 books

In two or more complete sentences describe how to determine if the function, f(x) =3cos(x) is even by looking at a graph

Answers

Answer:

You know that a cosine graph is a sine graph moved to the left by pi/2, therefore, like a linear equation, you need to make the cosine graph 3 times less width.

Step-by-step explanation:

Can someone please help!!

Answers

Answer:

d

Step-by-step explanation:

40 is the exact amount from a,b,back to c

Solve for u
7=u/4-16

Answers

Answer:

u=92

Step-by-step explanation:

Like and give 5 star rating

100 points if you get this

Answers

Answer:

....

Step-by-step explanation:

Answer:

I AGREE

Step-by-step explanation:


Laura is training to run a race. She keeps track of the number of miles she runs. She has been training for 5 weeks, and she has run a total
of 40 miles. At what rate has she been running, in miles per week?

Answers

Answer:

8 miles per week!

Step-by-step explanation:

40 miles / 5 weeks = 8!

so it would be 8 miles per week.

i hope this helps!!

pls help with this question asap!

Answers

Answer:

ggggggggggggggggggggg

What is the value of H in the diagram below?

Answers

Answer:

The answer is 6.5

Step-by-step explanation:

It was a long process, but overall if you look at how long the segment x looks, it has to be less than half of the segment that is 30 units long so the only one that makes sense is 6.5

Pls help I will put brainlist if u help me told nd thank u

Answers

Answer:

17+7=24

Step-by-step explanation:

I hope this help you

Answer

10

Step-by-step explanation:

Subtract 7 from both sides of the equation.

n=17−7

Subtract 7 from 17.

n=10

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help!?!!!???
x-14=20

Answers

Answer:

x = 34

Step-by-step explanation:

Just add 14 on both sides of the equal sign to get x = 34.

Hope this helps :)

Answer:

x = 34

Step-by-step explanation:

hope it helps a lot

that's the final answer

Marco is working with the equation s=kw his teacher told him that’s a varies directly with w if Marco substitutes 300 for s and 60 for w which of the following would be valid

Answers

Answer:

 S = kpq 280 = k(5)(7) 280 = 35k 8 = k

Use the graph to identify the following: end behavior. for a branlist

Answers

Answer:

the first option, increasing as x approaches infinity and decreasing as x approaches negative infinity

Step-by-step explanation:

Suppose the graph of y = f(x) is translated left 2 units, and up 8 units, then stretched vertically by a
factor of 3.

The new graph will have equation y =

Answers

Answer: f(x)=3(x+4)+ 8

Step-by-step explanation:

Stretch vertically by a factor of 3:  y = 3x

 

Then, translate two units leftward:  y = 3(x+2)

 

Then, translate 8 units upward:  y = 3(x+4)+ 8

Find the measures of angles 1 and 2.

Answers

Answer:

angle one:100 degrees

angle two:70 degrees

Step-by-step explanation: so angle two and the angle with 70 degrees are alternate angles, so they would be the same. at this point if you subtracted 70 from 180 because angle b is 180 degrees, you would get 110, so then you would have three angles, and it wouldn't be too hard to find the fourth, which is 100 degrees.

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